要使分式3-x/2-x的值比分式1/x-2的值大3,则
(3-x)/(2-x)-1/(x-2)=3
(3-x)/(2-x)+1/(2-x)=3
(3-x+1)/(2-x)=3
则 4-x=3(2-x)
4-x=6-3x
2x=2
解得 x=1
检验:满足方程。【注意检验会不会增根】
(3-x)/(2-x)-1/(x-2)=3
(3-x+1)/(2-x)=3
(3-x+1)=3(2-x)
4-x=6-3x
2x=2
x=1
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(3-x)/(2-x)-1/(x-2)=3
(3-x)/(2-x)+1/(2-x)=3
(3-x+1)/(2-x)=3
则 4-x=3(2-x)
4-x=6-3x
2x=2
解得 x=1
(3-x)/(2-x)-1/(x-2)=3
=>(3-x)/(2-x)+1/(2-x)=3
=>(4-x)/(2-x)=3
=>4-x=6-3x
=>2x=2
=>x=1
(3-x/2-x - 1/x-2) > 3
x-4/x-2 > 3
x-4>3x-6
2x<2
x<1